Respuesta :

Answer:

Alternative D - 8 sin(35°)

Step-by-step explanation:

Sin(x) is defined as:

[tex]\begin{gathered} \sin (x)=\frac{\text{Opposite side}}{Hypotenuse\text{ }} \\ \end{gathered}[/tex]

In this exercise,

BC is the opposite side to 35°

AC is the hypotenuse and measures 8 in

Then:

[tex]\begin{gathered} \sin (35\degree)=\frac{BC}{8} \\ \sin (35\degree)\cdot8=BC \\ BC=8\sin (35\degree) \end{gathered}[/tex]